1.65 + 0.85x= $20
0.85x=$18.35
x=21 10/17
first you write the equation
then you have to subtract 1.65 from the equation but you also have to subtract it from 20
then you divide 0.85 from 0.85x and from the 18.35 left over from subtracting 1.65 from 20
then you should get x=21 10/17 (simplified) but the decimal form is a ongoing fraction so you can just round it up to the nearest hundredth
Answer:
they're all rational numbers
Step-by-step explanation:
rational numbers are positive, negative, or zero integers. they can be decimals as well.
first expression = 2.449.... + 3 = 5.449 (yes, it is rational)
second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)
third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)
fourth expression = 4 + 13 = 17 (yes, it is rational)
fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)
sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)
Answers:
Vertical asymptote: x = 0
Horizontal asymptote: None
Slant asymptote: (1/3)x - 4
<u>Explanation:</u>
d(x) = 
= 
Discontinuities: (terms that cancel out from numerator and denominator):
Nothing cancels so there are NO discontinuities.
Vertical asymptote (denominator cannot equal zero):
3x ≠ 0
<u>÷3</u> <u>÷3 </u>
x ≠ 0
So asymptote is to be drawn at x = 0
Horizontal asymptote (evaluate degree of numerator and denominator):
degree of numerator (2) > degree of denominator (1)
so there is NO horizontal asymptote but slant (oblique) must be calculated.
Slant (Oblique) Asymptote (divide numerator by denominator):
- <u>(1/3)x - 4 </u>
- 3x) x² - 12x + 20
- <u>x² </u>
- -12x
- <u>-12x </u>
- 20 (stop! because there is no "x")
So, slant asymptote is to be drawn at (1/3)x - 4
When x is 3, y is 4
To do this, go to the right 3 units and go up until the line intersects with a grid point
At three, y is 4
Hope this helps!
